I used both in the past. I wonder if anyone has a TL;DR of the story behind this, because I had never heard of any feud?
On OBS github, contributors asked SLOBS to stop doing that, and Streamlabs declined.
Streamer community outrage ensued via Twitter. Large exodus of SLOBS users to OBS. Streamlabs publicly apologized a few days later, and renamed Streamlabs OBS to Streamlabs Studio.
Ah that is a good outcome. I pessimistically thought this post was implying that OBS decided to "collaborate" by relenting to huge wads of money and giving up their name. Which would've been a huge shame to open source software. Glad stuff worked out.